Scattering of hard balls (classical) or wave functions (quantum mechanical) on obstacles is a problem very commonly considered in both mathematics and physics. The dynamical features, in particular hyperbolicity, of such scattering on n discs in the plane are very similar to those of the geodesic flow. From there it is only a small step towards are great similarity in the calculation of resonances from zeta functions.
This project should therefore consider including classical and quantum mechanial n-disk scattering systems to leverage the mathematical and numerical similarity with the already existing implementations for Schottky surfaces.
Scattering of hard balls (classical) or wave functions (quantum mechanical) on obstacles is a problem very commonly considered in both mathematics and physics. The dynamical features, in particular hyperbolicity, of such scattering on n discs in the plane are very similar to those of the geodesic flow. From there it is only a small step towards are great similarity in the calculation of resonances from zeta functions.
This project should therefore consider including classical and quantum mechanial n-disk scattering systems to leverage the mathematical and numerical similarity with the already existing implementations for Schottky surfaces.